Abstract algebra | Multiplication | Linear algebra
In mathematics, scalar multiplication is one of the basic operations defining a vector space in linear algebra (or more generally, a module in abstract algebra). In common geometrical contexts, scalar multiplication of a real Euclidean vector by a positive real number multiplies the magnitude of the vector—without changing its direction. The term "scalar" itself derives from this usage: a scalar is that which scales vectors. Scalar multiplication is the multiplication of a vector by a scalar (where the product is a vector), and is to be distinguished from inner product of two vectors (where the product is a scalar). (Wikipedia).
Matrix Operations Scalar Multiplication
I introduce the definition of Scalar Multiplication for Matrices. I then work through three examples. I also discuss the Properties of Scalar Multiplication. This is an excerpt from a full length lesson I will post in a couple of days. Check out http://www.ProfRobBob.com, there you will
From playlist Linear Algebra
Multivariable Calculus | The scalar multiple of a vector.
We define scalar multiplication in the context of 2 and 3 dimensional vectors. We also present a few properties of scalar multiplication and vector addition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
how to do matrix scalar multiplication
From playlist Pre-Calculus / Trigonometry
Ex: Matrix Scalar Multiplication
This video explains how to perform scalar multiplication. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
Calculus 3: Vector Calculus in 2D (3 of 39) Scalar Multiplication
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain that a scalars only represent magnitude (it has no direction) and can be negative. And I will show how to execute vector scalar multiplication of multiplying a scalar quantity to a vector quan
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
The Graph of a Line as a Set of Vectors, The Definition of Scalar Multiplication and it's Properties
The Graph of a Line as a Set of Vectors, The Definition of Scalar Multiplication and it's Properties - Key example of writing the graph of a line as a set of vectors. - Definition of scalar multiplication - Closure of scalar multiplication. - Commutative property for scalar multiplication
From playlist Linear Algebra
Linear Algebra for Computer Scientists. 4. Scalar Multiplication of Vectors
This computer science video is the fourth in a series about linear algebra for computer scientists. In this video you will learn how to multiply a vector by a scalar quantity, that is, by a number. You will see that multiplying a vector by a positive scalar results in a new vector with a
From playlist Linear Algebra for Computer Scientists
Scalar Multiplication with Vectors
Hi All Happy Monday 18th June 2020. Today's video is a short video on multiplying numbers with vectors I.e scalar Multiplication with vectors. The idea is we multiply the number by the vector. We stay consistent with the signs and that's all we do. If we have a negative multipled by a po
From playlist KS3 Maths
Ex: Matrix Scalar Multiplication Application - Dilation
This video provides an example of how matrix scalar multiplication can be used to dilate polygon on the coordinate plane. Site: http://mathispower4u.com
From playlist Introduction to Matrices and Matrix Operations
What is a vector space? -- Abstract Linear Algebra 6
⭐Highly Suggested Linear Algebra books⭐ Linear Algebra, an introduction to abstract mathematics: https://amzn.to/3rkp4Wc Linear Algebra Done Right: https://amzn.to/3rkp4Wc The Manga Guide to Linear Algebra: https://amzn.to/3HnS59o A First Course in Linear Algebra: http://linear.ups.edu/ Li
From playlist Abstract Linear Algebra
Linear Algebra 4.1 Real Vector Spaces
My notes are available at http://asherbroberts.com/ (so you can write along with me). Elementary Linear Algebra: Applications Version 12th Edition by Howard Anton, Chris Rorres, and Anton Kaul
From playlist Linear Algebra
General Vector Spaces and Tensors | Wrap it Up!
In this video, I will introduce general vectorspaces over fields, the dual vectorspace, the cobasis, and general tensors. Translate This Video : http://www.youtube.com/timedtext_video?ref=share&v=1ReUzrT8n_Q Notes : None yet Patreon : https://www.patreon.com/user?u=16481182 Teespring : ht
From playlist Wrap It Up!
Lie Groups and Lie Algebras: Lesson 2 - Quaternions
This video is about Lie Groups and Lie Algebras: Lesson 2 - Quaternions We study the algebraic nature of quaternions and cover the ideas of an algebra and a field. Later we will discover how quaternions fit into the description of the classical Lie Groups. NOTE: An astute viewer noted th
From playlist Lie Groups and Lie Algebras
Determine Which Sets are Vector Spaces
This video explains how to check the 5 axioms of addition and 5 axioms of scalar multiplication to determine if a set makes up a vector space.
From playlist Vector Spaces
Worldwide Calculus: Rn as a Vector Space
Lecture on 'Rn as a Vector Space' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Multivariable Spaces and Functions
Vector Spaces andt Tensors | Wrap it Up!
In this video, I will summarize general vectorspaces on fields, bases, the dual vectorspace, and tensors/their components. This includes the dual basis definition. Translate This Video: Email : fematikaqna@gmail.com Discord: https://discord.gg/5z7pgj5 Subreddit : https://www.reddit.com/r/
From playlist Wrap It Up!
QED Prerequisites Geometric Algebra 24 Paravectors
In this lesson we discover yet another way to partition the components of a general multivector. In this method, the partitioning is entirely dependent on a choice of reference frame. That is \gamma_0 must be chosen and it represents the 4-velocity of an observer who is stationary in that
From playlist QED- Prerequisite Topics
Matrix Addition and Scalar Multiplication
This is the first video of a series from the Worldwide Center of Mathematics explaining the basics of matrices. This video deals with matrix dimensions, matrix addition, and scalar multiplication. For more math videos, visit our channel or go to www.centerofmath.org
From playlist Basics: Matrices